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122003310200120 = 23567148744836829
BaseRepresentation
bin11011101111011000011011…
…111101110100010100111000
3120222222101212110100110210222
4123233120123331310110320
5111442400234402400440
61111251314050555212
734461306522006356
oct3357303375642470
9528871773313728
10122003310200120
1135968349a96378
1211825085898b08
13530cb2a70502b
14221adc53d27d6
15e188bd04d2b5
hex6ef61bf74538

122003310200120 has 128 divisors (see below), whose sum is σ = 278894956723200. Its totient is φ = 48022867892736.

The previous prime is 122003310200117. The next prime is 122003310200183. The reversal of 122003310200120 is 21002013300221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17865468866 + ... + 17865475694.

It is an arithmetic number, because the mean of its divisors is an integer number (2178866849400).

Almost surely, 2122003310200120 is an apocalyptic number.

122003310200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122003310200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139447478361600).

122003310200120 is an abundant number, since it is smaller than the sum of its proper divisors (156891646523080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122003310200120 is a wasteful number, since it uses less digits than its factorization.

122003310200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12877 (or 12873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122003310200120 its reverse (21002013300221), we get a palindrome (143005323500341).

The spelling of 122003310200120 in words is "one hundred twenty-two trillion, three billion, three hundred ten million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 1487 2680 2974 4483 5948 6829 7435 8966 11896 13658 14870 17932 22415 27316 29740 34145 35864 44830 54632 59480 68290 89660 99629 136580 179320 199258 273160 300361 398516 457543 498145 600722 797032 915086 996290 1201444 1501805 1830172 1992580 2287715 2402888 3003610 3660344 3985160 4575430 6007220 6666221 9150860 10154723 12014440 13332442 18301720 20309446 26664884 30614407 33331105 40618892 50773615 53329768 61228814 66662210 81237784 101547230 122457628 133324420 153072035 203094460 244915256 266648840 306144070 406188920 446636807 612288140 680366441 893273614 1224576280 1360732882 1786547228 2051165269 2233184035 2721465764 3401832205 3573094456 4102330538 4466368070 5442931528 6803664410 8204661076 8932736140 10255826345 13607328820 16409322152 17865472280 20511652690 27214657640 41023305380 45523623209 82046610760 91047246418 182094492836 227618116045 364188985672 455236232090 910472464180 1820944928360 3050082755003 6100165510006 12200331020012 15250413775015 24400662040024 30500827550030 61001655100060 122003310200120